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Finding the Third Proportional to 304,738 and 456,819

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Solution

The third proportional to 304,738 and 456,819 is: 684,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,738 : 456,819 = 456,819 : x
  2. Step 2: Convert to fraction form
    304,738/456,819 = 456,819/x
  3. Step 3: Cross multiply
    304,738x = 456,819 × 456,819
  4. Step 4: Simplify right side
    304,738x = 208,683,598,761
  5. Step 5: Solve for x
    x = 208,683,598,761/304,738
  6. Step 6: Final answer
    x = 684,796.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.